Question

A treasure box is of the volume $0.4\times {10}^5$ cu m, which equals to cu cm.

• A. $4\times {10}^{10}$
• B. $4\times {10}^{11}$
• C. $0.4\times {10}^9$
• D. $0.4\times {10}^{10}$

Answer 1

The correct option is A $4\times {10}^{10}$

Given the volume of box
= $0.4\times {10}^5{\text{m}}^3$

$\because \text{1 m}=\text{100 cm}$
$0.4\times {10}^5\times (100\text{cm}{)}^3$
= $0.4\times {10}^5\times ({10}^2{)}^3{\text{cm}}^3$
= $0.4\times {10}^5\times {10}^6{\text{cm}}^3$
= $0.4\times {10}^{5+6}{\text{cm}}^3$
= $0.4\times {10}^{11}{\text{cm}}^3$
= $4\times {10}^{10}{\text{cm}}^3$